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Finding the Fourth Proportional to 22,102.68, 33,163.92 and 11,712

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Solution

The fourth proportional to 22,102.68, 33,163.92 and 11,712 is: 17,573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.68 : 33,163.92 = 11,712 : x
  2. Step 2: Convert to fraction form
    22,102.68/33,163.92 = 11,712/x
  3. Step 3: Cross multiply
    22,102.68x = 33,163.92 × 11,712
  4. Step 4: Simplify right side
    22,102.68x = 388,415,831.04
  5. Step 5: Solve for x
    x = 388,415,831.04/22,102.68
  6. Step 6: Final answer
    x = 17,573.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.